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140422021103133 = 3273116167791629
BaseRepresentation
bin11111111011011010001100…
…101011111011111000011101
3200102012012210002101212010100
4133323122030223323320131
5121401133244400300013
61214352552543531313
741402104405341000
oct3773321453737035
9612165702355110
10140422021103133
1140819710133330
12138ba88a8b9b39
13604798037c283
142696667d65537
151137a742d1473
hex7fb68cafbe1d

140422021103133 has 96 divisors (see below), whose sum is σ = 262272258144000. Its totient is φ = 71750659075200.

The previous prime is 140422021103129. The next prime is 140422021103153. The reversal of 140422021103133 is 331301120224041.

140422021103133 is a `hidden beast` number, since 1 + 4 + 0 + 422 + 0 + 2 + 1 + 103 + 133 = 666.

It is not a de Polignac number, because 140422021103133 - 22 = 140422021103129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140422021103097 and 140422021103106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140422021103153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31824438 + ... + 35967191.

It is an arithmetic number, because the mean of its divisors is an integer number (2732002689000).

Almost surely, 2140422021103133 is an apocalyptic number.

It is an amenable number.

140422021103133 is a deficient number, since it is larger than the sum of its proper divisors (121850237040867).

140422021103133 is a wasteful number, since it uses less digits than its factorization.

140422021103133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67791728 (or 67791711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 140422021103133 its reverse (331301120224041), we get a palindrome (471723141327174).

The spelling of 140422021103133 in words is "one hundred forty trillion, four hundred twenty-two billion, twenty-one million, one hundred three thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 49 61 63 77 99 147 183 231 343 427 441 539 549 671 693 1029 1281 1617 2013 2989 3087 3773 3843 4697 4851 6039 8967 11319 14091 20923 26901 32879 33957 42273 62769 98637 188307 230153 295911 690459 2071377 67791629 203374887 474541403 610124661 745707919 1423624209 2237123757 3321789821 4135289369 4270872627 5219955433 6711371271 9965369463 12405868107 15659866299 23252528747 28947025583 29896108389 36539688031 37217604321 45488183059 46979598897 69757586241 86841076749 109619064093 136464549177 202629179081 209272758723 255777816217 260523230247 318417281413 328857192279 409393647531 607887537243 767333448651 955251844239 1418404253567 1823662611729 2228920969891 2302000345953 2865755532717 4255212760701 6686762909673 12765638282103 15602446789237 20060288729019 46807340367711 140422021103133